Epimorphic Euler genera
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- This revision was by author genewardsmith and made on 2013-12-13 16:35:32 UTC.
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Original Wikitext content:
Below are listed the [[Periodic scale#Epimorphic|epimorphic]] [[Euler genera]] for various numbers of notes. =Twelve notes= ==Rank one== Genus(3^11) (Pythagorean) ==Rank two== Genus(3^5*11), Genus(3*7^5) Genus(3^3*5^2) (Duodene) Genus(3^2*13^3) (12f), Genus(3^3*13^2) (patent) ==Rank three== Genus(3*5^2*7), Genus(3*5^2*11), Genus(3*7^2*11) Genus(5^2*7*13) (12f), Genus(5^2*11*13) (12f), Genus(3*11*13^2) (patent) =Fifteen notes= Genus(3^4*11^2), Genus(5^4*11^2) Genus(5^2*7^4), Genus(5^2*11^4), Genus(5^2*13^4)
Original HTML content:
<html><head><title>Epimorphic Euler Genera</title></head><body>Below are listed the <a class="wiki_link" href="/Periodic%20scale#Epimorphic">epimorphic</a> <a class="wiki_link" href="/Euler%20genera">Euler genera</a> for various numbers of notes.<br /> <br /> <!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="Twelve notes"></a><!-- ws:end:WikiTextHeadingRule:0 -->Twelve notes</h1> <!-- ws:start:WikiTextHeadingRule:2:<h2> --><h2 id="toc1"><a name="Twelve notes-Rank one"></a><!-- ws:end:WikiTextHeadingRule:2 -->Rank one</h2> Genus(3^11) (Pythagorean)<br /> <br /> <!-- ws:start:WikiTextHeadingRule:4:<h2> --><h2 id="toc2"><a name="Twelve notes-Rank two"></a><!-- ws:end:WikiTextHeadingRule:4 -->Rank two</h2> Genus(3^5*11), Genus(3*7^5)<br /> Genus(3^3*5^2) (Duodene) <br /> Genus(3^2*13^3) (12f), Genus(3^3*13^2) (patent)<br /> <br /> <!-- ws:start:WikiTextHeadingRule:6:<h2> --><h2 id="toc3"><a name="Twelve notes-Rank three"></a><!-- ws:end:WikiTextHeadingRule:6 -->Rank three</h2> Genus(3*5^2*7), Genus(3*5^2*11), Genus(3*7^2*11)<br /> Genus(5^2*7*13) (12f), Genus(5^2*11*13) (12f), Genus(3*11*13^2) (patent)<br /> <br /> <!-- ws:start:WikiTextHeadingRule:8:<h1> --><h1 id="toc4"><a name="Fifteen notes"></a><!-- ws:end:WikiTextHeadingRule:8 -->Fifteen notes</h1> Genus(3^4*11^2), Genus(5^4*11^2)<br /> Genus(5^2*7^4), Genus(5^2*11^4), Genus(5^2*13^4)</body></html>